The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices
The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices
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DOI：
10.1007/978-3-0348-9078-6_9
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
J. Fröhlich;A. Chamseddine;F. Gabbiani;T. Kerler;C. Kling;P. Marchetti;U. M. Studer;E. Thiran
中科院分区：
文献类型：
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作者：
J. Fröhlich;A. Chamseddine;F. Gabbiani;T. Kerler;C. Kling;P. Marchetti;U. M. Studer;E. Thiran
Chern-Simons理论在三维拓扑学中起着重要的作用，因为它与Ray-Singer解析挠率[47]，高斯连接数[25]，[14]，[57]，纽结理论中的琼斯多项式[35]及其推广[63]，[23]和三流形不变量[63]，[12]。最近，非对易空间上的Chern-Simons形式和作用量[7]已经被定义[45]，[6]，并为奇数维中的拓扑规范理论提供了统一的观点[6]。
Chern-Simons theory has come to play an important role in three-dimensional topology because of its connections with Ray-Singer analytic torsion [47], the Gauss linking number [25], [14], [57], the Jones polynomial in knot theory [35] and its generalizations [63], [23], and three-manifold invariants [63], [12]. Recently, Chern-Simons forms and actions over noncommutative spaces [7] have been defined [45], [6] and turn out to provide a unifying perspective for topological gauge theories in oddandeven dimensions [6].